3(2y-1)+2(3y+4)=17

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Solution for 3(2y-1)+2(3y+4)=17 equation:


Simplifying
3(2y + -1) + 2(3y + 4) = 17

Reorder the terms:
3(-1 + 2y) + 2(3y + 4) = 17
(-1 * 3 + 2y * 3) + 2(3y + 4) = 17
(-3 + 6y) + 2(3y + 4) = 17

Reorder the terms:
-3 + 6y + 2(4 + 3y) = 17
-3 + 6y + (4 * 2 + 3y * 2) = 17
-3 + 6y + (8 + 6y) = 17

Reorder the terms:
-3 + 8 + 6y + 6y = 17

Combine like terms: -3 + 8 = 5
5 + 6y + 6y = 17

Combine like terms: 6y + 6y = 12y
5 + 12y = 17

Solving
5 + 12y = 17

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + 12y = 17 + -5

Combine like terms: 5 + -5 = 0
0 + 12y = 17 + -5
12y = 17 + -5

Combine like terms: 17 + -5 = 12
12y = 12

Divide each side by '12'.
y = 1

Simplifying
y = 1

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